On Unique Continuation for Non-local Dispersive Models

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作者
Felipe Linares
Gustavo Ponce
机构
[1] IMPA,Department of Mathematics
[2] University of California,undefined
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Unique continuation; Nonlocal dispersive equations; Primary 35Q53; Secondary 35B05;
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摘要
We consider unique continuation properties of solutions to a family of evolution equations. Our interest is mainly on nonlinear non-local models. This class contains the Benjamin–Ono, the Intermediate Long Wave, the Camassa–Holm, the dispersion generalized Benjamin–Ono and non-local Schrödinger equations as well as their generalizations. We shall review, discuss, expand, and comment on several results. In addition, we shall state some open questions concerning these results and their techniques.
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页码:771 / 797
页数:26
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